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Atlas › Integer Profiles › Node 17,523,231

17,523,231

3 × 11 × 43 × 53 × 233
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 11 × 43 × 53 × 233
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 26,687,232
Proper Divisor Sum 9,164,001
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #17523229 ← → #17523239

Radix Representation

Decimal 17523231
Binary 1000010110110001000011111 (25 bits)
Octal 0o102661037
Hexadecimal 0x10B621F

Divisor Catalog (32)

1 3 11 33 43 53 129 159 233 473 583 699 1,419 1,749 2,279 2,563 6,837 7,689 10,019 12,349 25,069 30,057 37,047 75,207 110,209 135,839 330,627 407,517 531,007 1,593,021 5,841,077 17,523,231

Collatz Trajectory (275 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

17,523,231 52,569,694 26,284,847 78,854,542 39,427,271 118,281,814 59,140,907 177,422,722 88,711,361 266,134,084 133,067,042 66,533,521 199,600,564 99,800,282 49,900,141 149,700,424 74,850,212 37,425,106 18,712,553 56,137,660 28,068,830 14,034,415 42,103,246 21,051,623 63,154,870 31,577,435 94,732,306 47,366,153 142,098,460 71,049,230 35,524,615 106,573,846 53,286,923 159,860,770 79,930,385 239,791,156 119,895,578 59,947,789 179,843,368 89,921,684 44,960,842 22,480,421 67,441,264 33,720,632 16,860,316 8,430,158 4,215,079 12,645,238 6,322,619 18,967,858 9,483,929 28,451,788 14,225,894 7,112,947 21,338,842 10,669,421 32,008,264 16,004,132 8,002,066 4,001,033

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